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Generalized power means and interpolating inequalities
Author(s):
Hsu-Tung
Ku;
Mei-Chin
Ku;
Xin-Min
Zhang
Journal:
Proc. Amer. Math. Soc.
127
(1999),
145-154.
MSC (1991):
Primary 26B25, 26D05, 26D10
MathSciNet review:
1600105
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Abstract:
In this paper, we introduce a multi-parameter family of generalized power means, and use their special properties to provide a new method of interpolating inequalities. We give a different refinement of an inequality of Ky Fan as a particular application of our method.
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Additional Information:
Hsu-Tung
Ku
Affiliation:
Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003
Email:
meiku@math.umass.edu
Mei-Chin
Ku
Affiliation:
Department of Mathematics and Statistics, University of South Alabama, Mobile, Alabama 36688
Email:
zhang@mathstat.usouthal.edu
DOI:
10.1090/S0002-9939-99-04845-5
PII:
S 0002-9939(99)04845-5
Keywords:
Arithmetic mean,
geometric mean,
harmonic mean,
symmetric mean,
generalized power mean,
interpolating inequalities
Received by editor(s):
May 2, 1997
Communicated by:
Frederick W. Gehring
Copyright of article:
Copyright
1999,
American Mathematical Society
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